import sequtils,strutils,sugar,algorithm,bitops,math

proc scanf*(formatstr: cstring){.header: "<stdio.h>", importc: "scanf", varargs.}
proc nextInt*(): int32 = scanf("%d", addr result)
proc nextLong*(): int64 = scanf("%lld", addr result)
proc nextFloat*(): float64 = scanf("%lf", addr result)
proc getchar*(): char {.header: "<stdio.h>", importc: "getchar".}
proc nextChar*(): char =
  while true:
    let c = getchar()
    if c.ord >= 0x21 and c.ord <= 0x7e:
      result = c
      break

proc nextstr*(): string =
  var ok = false
  while true:
    let c = getchar()
    if c.ord >= 0x21 and c.ord <= 0x7e: ok = true
    elif ok: break

    if ok:
      result.add(c)
      


template `max=`*(x, y) = x = max(x, y)
template `min=`*(x, y) = x = min(x, y)
template times*(n: int; body: untyped): untyped = (for _ in 0 ..< n: body)
proc `<-`*[T, U](a: var T, b: U): T =
  a = b
  return a

template `<<`(a: untyped, b: int): untyped = (a shl b)
template `>>`(a: untyped, b: int): untyped = (a shr b)

type
  ModInt*[M: static[int]] = distinct int64

proc `+`*[M](lhs, rhs: ModInt[M]): ModInt[M] {.noSideEffect.} =
  var t = int64(lhs) + int64(rhs)
  if t >= M: t -= M
  return ModInt[M](t)

proc `+`*[M](lhs: ModInt[M], rhs: int64): ModInt[M] {.noSideEffect.} =
  return ModInt[M]((int64(lhs) + rhs mod M) mod M)

proc `-`*[M](lhs, rhs: ModInt[M]): ModInt[M] {.noSideEffect.} =
  var t = int64(lhs) - int64(rhs)
  if t < 0: t += M
  return ModInt[M](t)

proc `-`*[M](lhs: ModInt[M], rhs: int64): ModInt[M] {.noSideEffect.} =
  var t = int64(lhs) - rhs mod M
  if t < 0: t += M
  return ModInt[M](t)

proc `*`*[M](lhs, rhs: ModInt[M]): ModInt[M] {.noSideEffect.} = return ModInt[M]((int64(lhs) * int64(rhs)) mod M)
proc `*`*[M](lhs: ModInt[M], rhs: int64): ModInt[M] {.noSideEffect.} = return ModInt[M]((int64(lhs) * rhs mod M) mod M)

proc pow*[M](a: ModInt[M], p: int64): ModInt[M] {.noSideEffect.} =
  var
    ret = ModInt[M](1)
    a = a
    p = p

  while p > 0:
    if (p and 1) == 1: ret = ret * a
    a = a * a
    p = p shr 1

  return ret

proc inv*[M](a: ModInt[M]): ModInt[M] {.noSideEffect.} =
  var
    a: int64 = int64(a)
    b: int64 = M
    u: int64 = 1
    v: int64 = 0

  while b != 0:
    let t = a div b
    a -= t * b
    swap(a, b)
    u -= t * v
    swap(u, v)

  u = u mod M
  if u < 0: u += M

  return ModInt[M](u)

proc `/`*[M](lhs, rhs: ModInt[M]): ModInt[M] {.noSideEffect.} = return lhs * rhs.inv

proc frac*[M](x: typedesc[ModInt[M]], a: int64, b: int64): ModInt[M] {.noSideEffect.} = return ModInt[M](a) * ModInt[M](b).inv

proc `$`*[M](a: ModInt[M]): string {.noSideEffect.} = $(int64(a))
proc `+=`*[M](lhs: var ModInt[M], rhs: ModInt[M]) = lhs = lhs + rhs
proc `-=`*[M](lhs: var ModInt[M], rhs: ModInt[M]) = lhs = lhs - rhs
proc `*=`*[M](lhs: var ModInt[M], rhs: ModInt[M]) = lhs = lhs * rhs
proc `/=`*[M](lhs: var ModInt[M], rhs: ModInt[M]) = lhs = lhs / rhs

proc zero*[M](t: type[ModInt[M]]): ModInt[M] {.noSideEffect.} = return ModInt[M](0)
proc one*[M](t: type[ModInt[M]]): ModInt[M] {.noSideEffect.} = return ModInt[M](1)


type
  SquareMatrix*[T] = object
    N: int
    data: seq[seq[T]]

proc make*[T](t: typedesc[SquareMatrix[T]], N: int): SquareMatrix[T] {.noSideEffect.} =
  return SquareMatrix[T](N: N, data: newSeqWith(N, newSeqWith(N, 0.T)))

proc one*[T](t: typedesc[SquareMatrix[T]], N: int): SquareMatrix[T] {.noSideEffect.} =
  var ret = SquareMatrix[T].make(N)
  for i in 0 ..< N: ret.data[i][i] = 1.T
  return ret

proc init_with_seq*[T](self: var SquareMatrix[T], value: seq[seq[T]]) =
  let N = self.N
  for i in 0 ..< N:
    for j in 0 ..< N:
      self.data[i][j] = value[i][j]

proc `*`*[T](lhs, rhs: SquareMatrix[T]): SquareMatrix[T] {.noSideEffect.} =
  let N = lhs.N
  var ret = SquareMatrix[T].make(N)

  for i in 0 ..< N:
    for j in 0 ..< N:
      for k in 0 ..< N:
        ret.data[i][j] += lhs.data[i][k] * rhs.data[k][j]
        
  return ret

proc `^`*[T](self: SquareMatrix[T], p: int64): SquareMatrix[T] {.noSideEffect.} =
  let N = self.N
  var
    ret = SquareMatrix[T].one(N)
    a = self
    p = p

  while p > 0:
    if (p and 1) == 1: ret = ret * a
    a = a * a
    p = p div 2

  return ret



type mint = ModInt[1_000_000_007]


let K = nextint()
let M = nextint()
let N = nextlong()

let data = newSeqWith(M, (nextint() - 1, nextint() - 1, nextint() - 1))

var mat = SquareMatrix[mint].make(K * K)

for (x, y, z) in data:
  mat.data[y * K + z][x * K + y] += 1.mint


mat = mat ^ (N - 2)

#for a in mat.data: echo a

var ans = 0.mint

for i in 0 ..< K:
  for j in 0 ..< K:
    ans += mat.data[i * K][j]

echo ans